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Finding the Third Proportional to 12.88 and 20.34

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Solution

The third proportional to 12.88 and 20.34 is: 32.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.88 : 20.34 = 20.34 : x
  2. Step 2: Convert to fraction form
    12.88/20.34 = 20.34/x
  3. Step 3: Cross multiply
    12.88x = 20.34 × 20.34
  4. Step 4: Simplify right side
    12.88x = 413.75
  5. Step 5: Solve for x
    x = 413.75/12.88
  6. Step 6: Final answer
    x = 32.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.